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Finding the Fourth Proportional to 1,794.84, 2,688.06 and 1,380.69

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Solution

The fourth proportional to 1,794.84, 2,688.06 and 1,380.69 is: 2,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.84 : 2,688.06 = 1,380.69 : x
  2. Step 2: Convert to fraction form
    1,794.84/2,688.06 = 1,380.69/x
  3. Step 3: Cross multiply
    1,794.84x = 2,688.06 × 1,380.69
  4. Step 4: Simplify right side
    1,794.84x = 3,711,377.56
  5. Step 5: Solve for x
    x = 3,711,377.56/1,794.84
  6. Step 6: Final answer
    x = 2,067.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.